1. 2.6 Operations on Functions

2. The sum f+g is the function defined by
(f + g)(x) = f(x) + g(x)
The domain of f+g consists of numbers x that are in the domain of both f and g.

3. The difference f-g is the function defined by
(f - g)(x) = f(x) - g(x)
The domain of f-g consists of numbers x that are in the domain of both f and g.

4. The product f *g is the function defined by
(f * g)(x) = f(x) * g(x)
The domain of f *g consists of numbers x that are in the domain of both f and g.

6. Given two functions f and g, the composite function is defined by

7. x g(x) g(x) x f(g(x)) g f f(g) Domain of g Range of g Range of f
Domain of f
g(x) x
f(g(x)) g f
Range of f(g)
f(g)

8. In general